A New Algorithm on Williams Public-Key Cryptosystem;

The system relies on the security of the key too much, and this doesn t benefit the exchange of the key, so people introduce Public-key Cryptosystem.

The elliptic curve cryptosystem (ECC) is one of the three public-key cryptosystems, contrast other public-key systems, it can through short key length and reach same security intensity (For example, 160 ECC key can get the same intensity of security as 1024 RSA key), so get more concerns.

Research on Braid Group Public Key Cryptosystems and Quantum Cryptanalysis;

Modular inversion is a part of the kernel for computations in the Galois field GF(p) used by many public key cryptosystems.

To build public key cryptosystem more effectively,gave a method to make a new cryptosystem from two given cryptosystems using the Diophantine equation Ax+By=C,then analyzed the method and gave some examples.

The implement of traditional e-business security was depended on public-key cryptosystem and private-key cryptosystem, some main question of e-business has been analyzed, a fast implement scheme of e-business security has been provided in this paper, which was only based on public-key cryptosystem.

The implement of traditional e-business secu- rity was depended on public-key cryptosystem and private-key cryptosystem,a fast implement scheme of e-business security has been provided in this paper,which was only based on public-key cryptosystem.

Based on maximum rank distance codes,an improved McElience public-key cryptosystem is presented.

This paper introduces the basic elements of RSA open cipher system and its application in digital signatures, and provides noticeable issues during realization concerning security of the system.